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Simplifying 1250 = (0.5)(3x + x)(5) Combine like terms: 3x + x = 4x 1250 = 0.5(4x)(5) Remove parenthesis around (4x) 1250 = 0.5 * 4x(5) Reorder the terms for easier multiplication: 1250 = 0.5 * 4 * 5x Multiply 0.5 * 4 1250 = 2 * 5x Multiply 2 * 5 1250 = 10x Solving 1250 = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1250 + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 1250 + -10x = 0 Add '-1250' to each side of the equation. 1250 + -1250 + -10x = 0 + -1250 Combine like terms: 1250 + -1250 = 0 0 + -10x = 0 + -1250 -10x = 0 + -1250 Combine like terms: 0 + -1250 = -1250 -10x = -1250 Divide each side by '-10'. x = 125 Simplifying x = 125
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